164275408 has 60 divisors (see below), whose sum is σ = 356672484. Its totient is φ = 73216000.

The previous prime is 164275381. The next prime is 164275409. The reversal of 164275408 is 804572461.

It can be written as a sum of positive squares in 2 ways, for example, as 149621824 + 14653584 = 12232^2 + 3828^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164275409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101808 + ... + 103408.

Almost surely, 2^164275408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164275408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178336242).

164275408 is an abundant number, since it is smaller than the sum of its proper divisors (192397076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164275408 is a wasteful number, since it uses less digits than its factorization.

164275408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 164275408 is about 12816.9968401338. The cubic root of 164275408 is about 547.6765989250.

It can be divided in two parts, 164 and 275408, that added together give a palindrome (275572).

The spelling of 164275408 in words is "one hundred sixty-four million, two hundred seventy-five thousand, four hundred eight".